On the relationship between quantum entanglement and classical synchronization in open systems

TL;DR

This paper explores the connection between quantum entanglement and classical synchronization by modeling open systems, revealing that quantum stationary states are inherently nonseparable, indicating a fundamental link between these phenomena.

Contribution

It introduces a model linking classical synchronization with quantum entanglement, demonstrating that quantum stationary states are nonseparable in a simple two-qubit system.

Findings

Quantum stationary states are nonseparable.

Classical synchronization can be modeled in quantum systems.

The model bridges classical and quantum synchronization phenomena.

Abstract

We propose a simple model of classical open system consisting of two subsystems all stationary states of which correspond to phase synchronization between the subsystems. The model is generalized to quantum systems in a finite-dimensional Hilbert space. The analysis of the simplest two qubit version of the quantum model shows that all its stationary states are nonseparable.